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Finding the Third Proportional to 97,044 and 205,752

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Solution

The third proportional to 97,044 and 205,752 is: 436,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,044 : 205,752 = 205,752 : x
  2. Step 2: Convert to fraction form
    97,044/205,752 = 205,752/x
  3. Step 3: Cross multiply
    97,044x = 205,752 × 205,752
  4. Step 4: Simplify right side
    97,044x = 42,333,885,504
  5. Step 5: Solve for x
    x = 42,333,885,504/97,044
  6. Step 6: Final answer
    x = 436,233.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.